Neural Networks. Single-layer neural network. CSE 446: Machine Learning Emily Fox University of Washington March 10, /9/17
|
|
- Scot Lee
- 5 years ago
- Views:
Transcription
1 3/9/7 Neural Networks Emily Fox University of Washington March 0, 207 Slides adapted from Ali Farhadi (via Carlos Guestrin and Luke Zettlemoyer) Single-layer neural network
2 3/9/7 Perceptron as a neural network w 0 x[] w w x[2] 2 x[d] w d Σ dx j=0 P d w j x[j] if g = j=0 w jx[j] > 0 otherwise 3 This is one neuron: - Input edges x[],,x[d], along with intercept x[0]= - Sum passed through an activation function g Sigmoid neuron w x[] w x[2] w 2 Σ 4 x[d] w d Just change g! - Why would we want to do this? - Notice the output range [0,]. What was it before? - Look familiar? Score(x) = dx w j x[j] j=0 g = +e Score(x) 2
3 3/9/7 Perceptron, linear classification, Boolean fns: x[j] {0,} Can learn x[] x[2]? x[] + x[2] Can learn x[] x[2]? x[] + x[2] Can learn any conjunction or disjunction? x[] + + x[d] - (-d+0.5) + x[] + + x[d] Can learn majority? - (-0.5*d) + x[] + + x[d] What are we missing? The dreaded XOR!, etc. x[] x[2] x[d] w 0 w w 2 w d Σ dx j=0 P d w j x[j] if g = j=0 wjx[j] > 0 otherwise 5 Introducing a hidden layer 3
4 3/9/7 What can t a simple linear classifier represent? XOR the counterexample to everything Need non-linear features XOR = x[] AND NOT x[2] OR NOT x[] AND x[2] 7 Solving the XOR problem: Going beyond linear classification by adding a layer XOR = x[] AND NOT x[2] OR NOT x[] AND x[2] -0.5 v[] -0.5 v[2] x[] x[2] v[] v[2] y Thresholded to 0 or 4
5 3/9/7 Solving the XOR problem: Going beyond linear classification by adding a layer y = x[] XOR x[2] =(x[] x[2]) (x[2] x[]) v[] = (x[] x[2]) = -0.5+x[]-x[2] v[2] = (x[2] x[]) = -0.5+x[2]-x[] y = v[] v[2] = -0.5+v[]+v[2] x[] x[2] v[] v[2] y 9 Hidden layer Single unit: out(x) =g(w 0 + X j w j x[j]) -hidden layer: out(x) =g(w 0 + X k w k g(w k 0 + X j w k j x[j])) 0 No longer convex function! 5
6 3/9/7 A general neural network Layers and layers and layers of linear models and non-linear transformations x[] v[] y Around for about 50 years - Fell in disfavor in 90s In last few years, big resurgence - Impressive accuracy on several benchmark problems - Powered by huge datasets, GPUs, & modeling/learning alg improvements x[2] v[2] Learning neural networks with hidden layers 6
7 3/9/7 Recall: Optimizing a single-layer neuron We train to minimize sum of squared errors: `(w) = X [y i g(w 0 + X w j x i [j])] 2 2 i j j = X i [y i g(w 0 + f(g(x)) = f 0 (g(x))g 0 w j x i [j])] g(w 0 + j j w j x i [j]) = X i [y i g(w 0 + X j w j x i [j])]x i [j]g 0 (w 0 + X j w j x i [j]) 3 Solution just depends on g : derivative of activation function! Forward propagation -hidden layer: out(x) =g(w 0 + X k w k g(w k 0 + X j w k j x[j])) For fixed weights, forming predictions is easy! Compute values left to right. Inputs: x[],,x[d] 2. Hidden: v[],,v[d] 3. Output: y x[] x[2] v[] v[2] y 4 7
8 3/9/7 Gradient descent for -hidden layer: Output layer parameters `(w) = 2 X [y i out(x i )] 2 i Dropped w 0 to make k = NX i= [y i out(x i k 5 Gradient for last layer same as single node case, but with hidden nodes v as input! Gradient descent for -hidden layer: Hidden layer parameters `(w) k j = NX i= X [y i out(x i )] 2 i [y i out(x i k j Dropped w 0 to make f(g(x)) = f 0 (g(x))g 0 (x) For hidden layer, two parts: 6 Recursive computation of gradient on output layer Normal update for single neuron 8
9 3/9/7 Multilayer neural networks Inference and Learning Forward pass: left to right, each hidden layer in turn Gradient computation: right to left, propagating gradient for each node Forward Gradient 7 Forward propagation Prediction Recursive algorithm Start from input layer Output of node v[k] with parents u[],u[2], : 0 v[k] X j wj k u[j] A 8 9
10 3/9/7 Back-propagation Learning Just gradient descent!!! Recursive algorithm for computing gradient For each example - Perform forward propagation - Start from output layer Compute gradient of node v[k] with parents u[],u[2], : Update weight wj k Repeat (move to preceding layer) 9 Convergence of backprop Perceptron leads to convex optimization - Gradient descent reaches global minima Multilayer neural nets not convex - Gradient descent gets stuck in local minima - Selecting number of hidden units and layers = fuzzy process - NNs have made a HUGE comeback in the last few years!!! Neural nets are back with a new name!!!! - Deep belief networks - Huge error reduction when trained with lots of data on GPUs 20 0
11 3/9/7 Overfitting in NNs Are NNs likely to overfit? - Yes, they can represent arbitrary functions!!! Avoiding overfitting? - More training data - Fewer hidden nodes / better topology - Regularization - Early stopping 2 Neural networks can do cool things!
12 3/9/7 Object recognition Slides from Jeff Dean at Google 23 Number detection Slides from Jeff Dean at Google 24 2
13 3/9/7 Acoustic Modeling for Speech Recognition label Close collaboration with Google Speech team Slides from Jeff Dean at Google Trained in <5 days on cluster of 800 machines 30% reduction in Word Error Rate for English! ( biggest single improvement in 20 years of speech research ) Launched in 202 at time of Jellybean release of Android era Convolutional Model for Object Recognition Softmax to predict object class Fully-connected layers Convolutional layers! (same weights used at all! spatial locations in layer)!! Convolutional networks developed by! Yann LeCun (NYU) Layer 7... Layer Input Slides from Jeff Dean at Google Basic architecture developed by Krizhevsky, Sutskever & Hinton (all now at Google).! Won 202 ImageNet challenge with 6.4% top-5 error rate 26 3
14 3/9/7 204-era Model for Object Recognition Module with 6 separate! convolutional layers 24 layers deep! Slides from Jeff Dean at Google Developed by team of Google Researchers:! Won 204 ImageNet challenge with 6.66% top-5 error rate 27 Good Fine-grained Classification Slides from Jeff Dean at Google hibiscus dahlia 28 4
15 3/9/7 Good Generalization Slides from Jeff Dean at Google Both recognized as a meal Sensible Errors Slides from Jeff Dean at Google snake dog 5
16 3/9/7 Works in practice for real users. Slides from Jeff Dean at Google Works in practice for real users. Slides from Jeff Dean at Google 6
17 3/9/7 Object detection Person: 0.64 Dog: 0.30 Horse: 0.28 Redmon et al Neural network summary 7
18 3/9/7 What you need to know about neural networks Perceptron: - Relationship to general neurons Multilayer neural nets - Representation - Derivation of backprop - Learning rule Overfitting 35 Course Wrap-Up Emily Fox University of Washington March 0, 207 8
19 3/9/7 What you have learned this quarter 37 Learning is function approximation Point estimation Regression Overfitting Bias-Variance tradeoff Ridge, LASSO Cross validation Stochastic gradient descent Coordinate descent Subgradient Logistic regression Decision trees Boosting Instance-based learning Perceptron SVMs Kernel trick Dimensionality reduction, PCA K-means Mixtures of Gaussians EM Discriminative v. Generative learning Unsupervised v. Supervised learning Naïve Bayes Bayes nets Neural networks BIG PICTURE Improving the performance at some task though experience!!! J - before you start any learning task, remember the fundamental questions: What is the learning problem? From what experience? What model? What loss function are you optimizing? With what optimization algorithm? Which learning algorithm? With what guarantees? How will you evaluate it? 38 9
20 3/9/7 Regression Example: Predicting house prices Data ML Regression Method Intelligence $ $ $ price ($) $ =?? 39 + house features house size Classification Example: Sentiment analysis Data ML Classification Method Intelligence Sushi was awesome, the food was awesome, but the service was awful. All reviews: Score(x) < 0 awful 40 awesome Score(x) > 0 20
21 3/9/7 Similarity/finding data Example: Document retrieval ML Nearest Method neighbor Data 4 Intelligence Clustering Example: Document structuring for retrieval Data ML Clustering Method SPORTS 42 Intelligence WORLD NEWS ENTERTAINMENT SCIENCE 2
22 3/9/7 Embedding Example: Embedding images to visualize data Data ML PCA Method Intelligence Can we give each image a coordinate, such that similar images are near each other? [Saul & Roweis 03] 43 Images with thousands or millions of pixels Deep Learning Example: Visual product recommender Data Deep ML Method Learning Intelligence Input images: Layer Layer 2 Nearest neighbors: x z y x 2 z
23 3/9/7 You have done a lot!!! And (hopefully) learned a lot!!! - Implemented LASSO Logistic regression Perceptron Clustering - Answered hard questions and proved many interesting results - Completed (I am sure) an amazing ML project - And did excellently on the final! 45 Thank You for the Hard Work!!! 23
CSE446: Neural Networks Spring Many slides are adapted from Carlos Guestrin and Luke Zettlemoyer
CSE446: Neural Networks Spring 2017 Many slides are adapted from Carlos Guestrin and Luke Zettlemoyer Human Neurons Switching time ~ 0.001 second Number of neurons 10 10 Connections per neuron 10 4-5 Scene
More informationMachine learning comes from Bayesian decision theory in statistics. There we want to minimize the expected value of the loss function.
Bayesian learning: Machine learning comes from Bayesian decision theory in statistics. There we want to minimize the expected value of the loss function. Let y be the true label and y be the predicted
More informationNeural Networks and Deep Learning
Neural Networks and Deep Learning Professor Ameet Talwalkar November 12, 2015 Professor Ameet Talwalkar Neural Networks and Deep Learning November 12, 2015 1 / 16 Outline 1 Review of last lecture AdaBoost
More informationIntelligent Systems Discriminative Learning, Neural Networks
Intelligent Systems Discriminative Learning, Neural Networks Carsten Rother, Dmitrij Schlesinger WS2014/2015, Outline 1. Discriminative learning 2. Neurons and linear classifiers: 1) Perceptron-Algorithm
More informationGrundlagen der Künstlichen Intelligenz
Grundlagen der Künstlichen Intelligenz Neural networks Daniel Hennes 21.01.2018 (WS 2017/18) University Stuttgart - IPVS - Machine Learning & Robotics 1 Today Logistic regression Neural networks Perceptron
More informationStatistical NLP for the Web
Statistical NLP for the Web Neural Networks, Deep Belief Networks Sameer Maskey Week 8, October 24, 2012 *some slides from Andrew Rosenberg Announcements Please ask HW2 related questions in courseworks
More informationClassification goals: Make 1 guess about the label (Top-1 error) Make 5 guesses about the label (Top-5 error) No Bounding Box
ImageNet Classification with Deep Convolutional Neural Networks Alex Krizhevsky, Ilya Sutskever, Geoffrey E. Hinton Motivation Classification goals: Make 1 guess about the label (Top-1 error) Make 5 guesses
More informationMIDTERM: CS 6375 INSTRUCTOR: VIBHAV GOGATE October,
MIDTERM: CS 6375 INSTRUCTOR: VIBHAV GOGATE October, 23 2013 The exam is closed book. You are allowed a one-page cheat sheet. Answer the questions in the spaces provided on the question sheets. If you run
More informationNeural Networks. Chapter 18, Section 7. TB Artificial Intelligence. Slides from AIMA 1/ 21
Neural Networks Chapter 8, Section 7 TB Artificial Intelligence Slides from AIMA http://aima.cs.berkeley.edu / 2 Outline Brains Neural networks Perceptrons Multilayer perceptrons Applications of neural
More informationMachine Learning. Neural Networks. (slides from Domingos, Pardo, others)
Machine Learning Neural Networks (slides from Domingos, Pardo, others) For this week, Reading Chapter 4: Neural Networks (Mitchell, 1997) See Canvas For subsequent weeks: Scaling Learning Algorithms toward
More informationMachine Learning for Large-Scale Data Analysis and Decision Making A. Neural Networks Week #6
Machine Learning for Large-Scale Data Analysis and Decision Making 80-629-17A Neural Networks Week #6 Today Neural Networks A. Modeling B. Fitting C. Deep neural networks Today s material is (adapted)
More informationMachine Learning. Neural Networks. (slides from Domingos, Pardo, others)
Machine Learning Neural Networks (slides from Domingos, Pardo, others) For this week, Reading Chapter 4: Neural Networks (Mitchell, 1997) See Canvas For subsequent weeks: Scaling Learning Algorithms toward
More informationMachine Learning (CSE 446): Neural Networks
Machine Learning (CSE 446): Neural Networks Noah Smith c 2017 University of Washington nasmith@cs.washington.edu November 6, 2017 1 / 22 Admin No Wednesday office hours for Noah; no lecture Friday. 2 /
More informationMachine Learning Lecture 12
Machine Learning Lecture 12 Neural Networks 30.11.2017 Bastian Leibe RWTH Aachen http://www.vision.rwth-aachen.de leibe@vision.rwth-aachen.de Course Outline Fundamentals Bayes Decision Theory Probability
More informationMachine Learning. Neural Networks. (slides from Domingos, Pardo, others)
Machine Learning Neural Networks (slides from Domingos, Pardo, others) Human Brain Neurons Input-Output Transformation Input Spikes Output Spike Spike (= a brief pulse) (Excitatory Post-Synaptic Potential)
More informationECE521 Lectures 9 Fully Connected Neural Networks
ECE521 Lectures 9 Fully Connected Neural Networks Outline Multi-class classification Learning multi-layer neural networks 2 Measuring distance in probability space We learnt that the squared L2 distance
More informationMachine Learning Lecture 5
Machine Learning Lecture 5 Linear Discriminant Functions 26.10.2017 Bastian Leibe RWTH Aachen http://www.vision.rwth-aachen.de leibe@vision.rwth-aachen.de Course Outline Fundamentals Bayes Decision Theory
More informationMachine Learning. Boris
Machine Learning Boris Nadion boris@astrails.com @borisnadion @borisnadion boris@astrails.com astrails http://astrails.com awesome web and mobile apps since 2005 terms AI (artificial intelligence)
More informationJakub Hajic Artificial Intelligence Seminar I
Jakub Hajic Artificial Intelligence Seminar I. 11. 11. 2014 Outline Key concepts Deep Belief Networks Convolutional Neural Networks A couple of questions Convolution Perceptron Feedforward Neural Network
More informationBased on the original slides of Hung-yi Lee
Based on the original slides of Hung-yi Lee Google Trends Deep learning obtains many exciting results. Can contribute to new Smart Services in the Context of the Internet of Things (IoT). IoT Services
More informationLecture 17: Neural Networks and Deep Learning
UVA CS 6316 / CS 4501-004 Machine Learning Fall 2016 Lecture 17: Neural Networks and Deep Learning Jack Lanchantin Dr. Yanjun Qi 1 Neurons 1-Layer Neural Network Multi-layer Neural Network Loss Functions
More informationMidterm: CS 6375 Spring 2015 Solutions
Midterm: CS 6375 Spring 2015 Solutions The exam is closed book. You are allowed a one-page cheat sheet. Answer the questions in the spaces provided on the question sheets. If you run out of room for an
More informationPAC-learning, VC Dimension and Margin-based Bounds
More details: General: http://www.learning-with-kernels.org/ Example of more complex bounds: http://www.research.ibm.com/people/t/tzhang/papers/jmlr02_cover.ps.gz PAC-learning, VC Dimension and Margin-based
More informationNeural Networks: Backpropagation
Neural Networks: Backpropagation Machine Learning Fall 2017 Based on slides and material from Geoffrey Hinton, Richard Socher, Dan Roth, Yoav Goldberg, Shai Shalev-Shwartz and Shai Ben-David, and others
More informationNonlinear Classification
Nonlinear Classification INFO-4604, Applied Machine Learning University of Colorado Boulder October 5-10, 2017 Prof. Michael Paul Linear Classification Most classifiers we ve seen use linear functions
More informationSGD and Deep Learning
SGD and Deep Learning Subgradients Lets make the gradient cheating more formal. Recall that the gradient is the slope of the tangent. f(w 1 )+rf(w 1 ) (w w 1 ) Non differentiable case? w 1 Subgradients
More informationNeed for Deep Networks Perceptron. Can only model linear functions. Kernel Machines. Non-linearity provided by kernels
Need for Deep Networks Perceptron Can only model linear functions Kernel Machines Non-linearity provided by kernels Need to design appropriate kernels (possibly selecting from a set, i.e. kernel learning)
More informationNeural Networks. Nicholas Ruozzi University of Texas at Dallas
Neural Networks Nicholas Ruozzi University of Texas at Dallas Handwritten Digit Recognition Given a collection of handwritten digits and their corresponding labels, we d like to be able to correctly classify
More informationLogistic Regression Introduction to Machine Learning. Matt Gormley Lecture 8 Feb. 12, 2018
10-601 Introduction to Machine Learning Machine Learning Department School of Computer Science Carnegie Mellon University Logistic Regression Matt Gormley Lecture 8 Feb. 12, 2018 1 10-601 Introduction
More informationMachine Learning Lecture 10
Machine Learning Lecture 10 Neural Networks 26.11.2018 Bastian Leibe RWTH Aachen http://www.vision.rwth-aachen.de leibe@vision.rwth-aachen.de Today s Topic Deep Learning 2 Course Outline Fundamentals Bayes
More informationNeural networks. Chapter 20, Section 5 1
Neural networks Chapter 20, Section 5 Chapter 20, Section 5 Outline Brains Neural networks Perceptrons Multilayer perceptrons Applications of neural networks Chapter 20, Section 5 2 Brains 0 neurons of
More informationNeural networks. Chapter 19, Sections 1 5 1
Neural networks Chapter 19, Sections 1 5 Chapter 19, Sections 1 5 1 Outline Brains Neural networks Perceptrons Multilayer perceptrons Applications of neural networks Chapter 19, Sections 1 5 2 Brains 10
More informationCourse in Data Science
Course in Data Science About the Course: In this course you will get an introduction to the main tools and ideas which are required for Data Scientist/Business Analyst/Data Analyst. The course gives an
More informationMachine Learning for Signal Processing Neural Networks Continue. Instructor: Bhiksha Raj Slides by Najim Dehak 1 Dec 2016
Machine Learning for Signal Processing Neural Networks Continue Instructor: Bhiksha Raj Slides by Najim Dehak 1 Dec 2016 1 So what are neural networks?? Voice signal N.Net Transcription Image N.Net Text
More informationNeural networks and optimization
Neural networks and optimization Nicolas Le Roux Criteo 18/05/15 Nicolas Le Roux (Criteo) Neural networks and optimization 18/05/15 1 / 85 1 Introduction 2 Deep networks 3 Optimization 4 Convolutional
More informationMachine Learning. Neural Networks
Machine Learning Neural Networks Bryan Pardo, Northwestern University, Machine Learning EECS 349 Fall 2007 Biological Analogy Bryan Pardo, Northwestern University, Machine Learning EECS 349 Fall 2007 THE
More informationARTIFICIAL INTELLIGENCE. Artificial Neural Networks
INFOB2KI 2017-2018 Utrecht University The Netherlands ARTIFICIAL INTELLIGENCE Artificial Neural Networks Lecturer: Silja Renooij These slides are part of the INFOB2KI Course Notes available from www.cs.uu.nl/docs/vakken/b2ki/schema.html
More informationDeep Learning: a gentle introduction
Deep Learning: a gentle introduction Jamal Atif jamal.atif@dauphine.fr PSL, Université Paris-Dauphine, LAMSADE February 8, 206 Jamal Atif (Université Paris-Dauphine) Deep Learning February 8, 206 / Why
More informationNeural Networks Learning the network: Backprop , Fall 2018 Lecture 4
Neural Networks Learning the network: Backprop 11-785, Fall 2018 Lecture 4 1 Recap: The MLP can represent any function The MLP can be constructed to represent anything But how do we construct it? 2 Recap:
More informationNeed for Deep Networks Perceptron. Can only model linear functions. Kernel Machines. Non-linearity provided by kernels
Need for Deep Networks Perceptron Can only model linear functions Kernel Machines Non-linearity provided by kernels Need to design appropriate kernels (possibly selecting from a set, i.e. kernel learning)
More informationNeural networks and optimization
Neural networks and optimization Nicolas Le Roux INRIA 8 Nov 2011 Nicolas Le Roux (INRIA) Neural networks and optimization 8 Nov 2011 1 / 80 1 Introduction 2 Linear classifier 3 Convolutional neural networks
More informationDeep Learning (CNNs)
10-601 Introduction to Machine Learning Machine Learning Department School of Computer Science Carnegie Mellon University Deep Learning (CNNs) Deep Learning Readings: Murphy 28 Bishop - - HTF - - Mitchell
More informationMultilayer Perceptrons (MLPs)
CSE 5526: Introduction to Neural Networks Multilayer Perceptrons (MLPs) 1 Motivation Multilayer networks are more powerful than singlelayer nets Example: XOR problem x 2 1 AND x o x 1 x 2 +1-1 o x x 1-1
More informationNeural Networks. CSE 6363 Machine Learning Vassilis Athitsos Computer Science and Engineering Department University of Texas at Arlington
Neural Networks CSE 6363 Machine Learning Vassilis Athitsos Computer Science and Engineering Department University of Texas at Arlington 1 Perceptrons x 0 = 1 x 1 x 2 z = h w T x Output: z x D A perceptron
More informationArtificial Intelligence
Artificial Intelligence Jeff Clune Assistant Professor Evolving Artificial Intelligence Laboratory Announcements Be making progress on your projects! Three Types of Learning Unsupervised Supervised Reinforcement
More informationNeural Networks. David Rosenberg. July 26, New York University. David Rosenberg (New York University) DS-GA 1003 July 26, / 35
Neural Networks David Rosenberg New York University July 26, 2017 David Rosenberg (New York University) DS-GA 1003 July 26, 2017 1 / 35 Neural Networks Overview Objectives What are neural networks? How
More informationLearning from Examples
Learning from Examples Data fitting Decision trees Cross validation Computational learning theory Linear classifiers Neural networks Nonparametric methods: nearest neighbor Support vector machines Ensemble
More informationSPSS, University of Texas at Arlington. Topics in Machine Learning-EE 5359 Neural Networks
Topics in Machine Learning-EE 5359 Neural Networks 1 The Perceptron Output: A perceptron is a function that maps D-dimensional vectors to real numbers. For notational convenience, we add a zero-th dimension
More informationLearning Theory Continued
Learning Theory Continued Machine Learning CSE446 Carlos Guestrin University of Washington May 13, 2013 1 A simple setting n Classification N data points Finite number of possible hypothesis (e.g., dec.
More informationCSE446: Clustering and EM Spring 2017
CSE446: Clustering and EM Spring 2017 Ali Farhadi Slides adapted from Carlos Guestrin, Dan Klein, and Luke Zettlemoyer Clustering systems: Unsupervised learning Clustering Detect patterns in unlabeled
More informationLecture 5: Logistic Regression. Neural Networks
Lecture 5: Logistic Regression. Neural Networks Logistic regression Comparison with generative models Feed-forward neural networks Backpropagation Tricks for training neural networks COMP-652, Lecture
More informationAd Placement Strategies
Case Study : Estimating Click Probabilities Intro Logistic Regression Gradient Descent + SGD AdaGrad Machine Learning for Big Data CSE547/STAT548, University of Washington Emily Fox January 7 th, 04 Ad
More informationLogistic Regression & Neural Networks
Logistic Regression & Neural Networks CMSC 723 / LING 723 / INST 725 Marine Carpuat Slides credit: Graham Neubig, Jacob Eisenstein Logistic Regression Perceptron & Probabilities What if we want a probability
More informationNeural networks. Chapter 20. Chapter 20 1
Neural networks Chapter 20 Chapter 20 1 Outline Brains Neural networks Perceptrons Multilayer networks Applications of neural networks Chapter 20 2 Brains 10 11 neurons of > 20 types, 10 14 synapses, 1ms
More informationMidterm Review CS 6375: Machine Learning. Vibhav Gogate The University of Texas at Dallas
Midterm Review CS 6375: Machine Learning Vibhav Gogate The University of Texas at Dallas Machine Learning Supervised Learning Unsupervised Learning Reinforcement Learning Parametric Y Continuous Non-parametric
More informationAI Programming CS F-20 Neural Networks
AI Programming CS662-2008F-20 Neural Networks David Galles Department of Computer Science University of San Francisco 20-0: Symbolic AI Most of this class has been focused on Symbolic AI Focus or symbols
More informationNeural Networks: Introduction
Neural Networks: Introduction Machine Learning Fall 2017 Based on slides and material from Geoffrey Hinton, Richard Socher, Dan Roth, Yoav Goldberg, Shai Shalev-Shwartz and Shai Ben-David, and others 1
More informationLecture 12. Neural Networks Bastian Leibe RWTH Aachen
Advanced Machine Learning Lecture 12 Neural Networks 24.11.2016 Bastian Leibe RWTH Aachen http://www.vision.rwth-aachen.de/ leibe@vision.rwth-aachen.de Talk Announcement Yann LeCun (NYU & FaceBook AI)
More informationWhat Do Neural Networks Do? MLP Lecture 3 Multi-layer networks 1
What Do Neural Networks Do? MLP Lecture 3 Multi-layer networks 1 Multi-layer networks Steve Renals Machine Learning Practical MLP Lecture 3 7 October 2015 MLP Lecture 3 Multi-layer networks 2 What Do Single
More informationDEEP LEARNING AND NEURAL NETWORKS: BACKGROUND AND HISTORY
DEEP LEARNING AND NEURAL NETWORKS: BACKGROUND AND HISTORY 1 On-line Resources http://neuralnetworksanddeeplearning.com/index.html Online book by Michael Nielsen http://matlabtricks.com/post-5/3x3-convolution-kernelswith-online-demo
More informationECE 5984: Introduction to Machine Learning
ECE 5984: Introduction to Machine Learning Topics: Ensemble Methods: Bagging, Boosting Readings: Murphy 16.4; Hastie 16 Dhruv Batra Virginia Tech Administrativia HW3 Due: April 14, 11:55pm You will implement
More informationIntroduction to Convolutional Neural Networks (CNNs)
Introduction to Convolutional Neural Networks (CNNs) nojunk@snu.ac.kr http://mipal.snu.ac.kr Department of Transdisciplinary Studies Seoul National University, Korea Jan. 2016 Many slides are from Fei-Fei
More informationCourse 395: Machine Learning - Lectures
Course 395: Machine Learning - Lectures Lecture 1-2: Concept Learning (M. Pantic) Lecture 3-4: Decision Trees & CBC Intro (M. Pantic & S. Petridis) Lecture 5-6: Evaluating Hypotheses (S. Petridis) Lecture
More informationLecture 12. Neural Networks Bastian Leibe RWTH Aachen
Advanced Machine Learning Lecture 12 Neural Networks 10.12.2015 Bastian Leibe RWTH Aachen http://www.vision.rwth-aachen.de/ leibe@vision.rwth-aachen.de This Lecture: Advanced Machine Learning Regression
More informationComments. Assignment 3 code released. Thought questions 3 due this week. Mini-project: hopefully you have started. implement classification algorithms
Neural networks Comments Assignment 3 code released implement classification algorithms use kernels for census dataset Thought questions 3 due this week Mini-project: hopefully you have started 2 Example:
More informationCS 4700: Foundations of Artificial Intelligence
CS 4700: Foundations of Artificial Intelligence Prof. Bart Selman selman@cs.cornell.edu Machine Learning: Neural Networks R&N 18.7 Intro & perceptron learning 1 2 Neuron: How the brain works # neurons
More informationThe exam is closed book, closed notes except your one-page cheat sheet.
CS 189 Fall 2015 Introduction to Machine Learning Final Please do not turn over the page before you are instructed to do so. You have 2 hours and 50 minutes. Please write your initials on the top-right
More informationPAC-learning, VC Dimension and Margin-based Bounds
More details: General: http://www.learning-with-kernels.org/ Example of more complex bounds: http://www.research.ibm.com/people/t/tzhang/papers/jmlr02_cover.ps.gz PAC-learning, VC Dimension and Margin-based
More informationNeural networks COMS 4771
Neural networks COMS 4771 1. Logistic regression Logistic regression Suppose X = R d and Y = {0, 1}. A logistic regression model is a statistical model where the conditional probability function has a
More informationLecture 12. Talk Announcement. Neural Networks. This Lecture: Advanced Machine Learning. Recap: Generalized Linear Discriminants
Advanced Machine Learning Lecture 2 Neural Networks 24..206 Bastian Leibe RWTH Aachen http://www.vision.rwth-aachen.de/ leibe@vision.rwth-aachen.de Talk Announcement Yann LeCun (NYU & FaceBook AI) 28..
More informationArtificial Neural Networks
Artificial Neural Networks Oliver Schulte - CMPT 310 Neural Networks Neural networks arise from attempts to model human/animal brains Many models, many claims of biological plausibility We will focus on
More informationECE G: Special Topics in Signal Processing: Sparsity, Structure, and Inference
ECE 18-898G: Special Topics in Signal Processing: Sparsity, Structure, and Inference Neural Networks: A brief touch Yuejie Chi Department of Electrical and Computer Engineering Spring 2018 1/41 Outline
More informationBits of Machine Learning Part 1: Supervised Learning
Bits of Machine Learning Part 1: Supervised Learning Alexandre Proutiere and Vahan Petrosyan KTH (The Royal Institute of Technology) Outline of the Course 1. Supervised Learning Regression and Classification
More informationSTA 414/2104: Lecture 8
STA 414/2104: Lecture 8 6-7 March 2017: Continuous Latent Variable Models, Neural networks Delivered by Mark Ebden With thanks to Russ Salakhutdinov, Jimmy Ba and others Outline Continuous latent variable
More informationCSCI567 Machine Learning (Fall 2018)
CSCI567 Machine Learning (Fall 2018) Prof. Haipeng Luo U of Southern California Sep 12, 2018 September 12, 2018 1 / 49 Administration GitHub repos are setup (ask TA Chi Zhang for any issues) HW 1 is due
More informationUNIVERSITY of PENNSYLVANIA CIS 520: Machine Learning Final, Fall 2014
UNIVERSITY of PENNSYLVANIA CIS 520: Machine Learning Final, Fall 2014 Exam policy: This exam allows two one-page, two-sided cheat sheets (i.e. 4 sides); No other materials. Time: 2 hours. Be sure to write
More informationMachine Learning and Data Mining. Multi-layer Perceptrons & Neural Networks: Basics. Prof. Alexander Ihler
+ Machine Learning and Data Mining Multi-layer Perceptrons & Neural Networks: Basics Prof. Alexander Ihler Linear Classifiers (Perceptrons) Linear Classifiers a linear classifier is a mapping which partitions
More informationFeature Design. Feature Design. Feature Design. & Deep Learning
Artificial Intelligence and its applications Lecture 9 & Deep Learning Professor Daniel Yeung danyeung@ieee.org Dr. Patrick Chan patrickchan@ieee.org South China University of Technology, China Appropriately
More informationOnline Videos FERPA. Sign waiver or sit on the sides or in the back. Off camera question time before and after lecture. Questions?
Online Videos FERPA Sign waiver or sit on the sides or in the back Off camera question time before and after lecture Questions? Lecture 1, Slide 1 CS224d Deep NLP Lecture 4: Word Window Classification
More informationArtificial Neural Networks" and Nonparametric Methods" CMPSCI 383 Nov 17, 2011!
Artificial Neural Networks" and Nonparametric Methods" CMPSCI 383 Nov 17, 2011! 1 Todayʼs lecture" How the brain works (!)! Artificial neural networks! Perceptrons! Multilayer feed-forward networks! Error
More informationNeural Nets Supervised learning
6.034 Artificial Intelligence Big idea: Learning as acquiring a function on feature vectors Background Nearest Neighbors Identification Trees Neural Nets Neural Nets Supervised learning y s(z) w w 0 w
More informationPATTERN CLASSIFICATION
PATTERN CLASSIFICATION Second Edition Richard O. Duda Peter E. Hart David G. Stork A Wiley-lnterscience Publication JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Singapore Toronto CONTENTS
More informationHow to do backpropagation in a brain
How to do backpropagation in a brain Geoffrey Hinton Canadian Institute for Advanced Research & University of Toronto & Google Inc. Prelude I will start with three slides explaining a popular type of deep
More informationIntroduction to Machine Learning
Introduction to Machine Learning Neural Networks Varun Chandola x x 5 Input Outline Contents February 2, 207 Extending Perceptrons 2 Multi Layered Perceptrons 2 2. Generalizing to Multiple Labels.................
More informationNeural Networks. Bishop PRML Ch. 5. Alireza Ghane. Feed-forward Networks Network Training Error Backpropagation Applications
Neural Networks Bishop PRML Ch. 5 Alireza Ghane Neural Networks Alireza Ghane / Greg Mori 1 Neural Networks Neural networks arise from attempts to model human/animal brains Many models, many claims of
More informationCSE 190 Fall 2015 Midterm DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO START!!!!
CSE 190 Fall 2015 Midterm DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO START!!!! November 18, 2015 THE EXAM IS CLOSED BOOK. Once the exam has started, SORRY, NO TALKING!!! No, you can t even say see ya
More informationSections 18.6 and 18.7 Analysis of Artificial Neural Networks
Sections 18.6 and 18.7 Analysis of Artificial Neural Networks CS4811 - Artificial Intelligence Nilufer Onder Department of Computer Science Michigan Technological University Outline Univariate regression
More informationSTA 414/2104: Lecture 8
STA 414/2104: Lecture 8 6-7 March 2017: Continuous Latent Variable Models, Neural networks With thanks to Russ Salakhutdinov, Jimmy Ba and others Outline Continuous latent variable models Background PCA
More informationSummary and discussion of: Dropout Training as Adaptive Regularization
Summary and discussion of: Dropout Training as Adaptive Regularization Statistics Journal Club, 36-825 Kirstin Early and Calvin Murdock November 21, 2014 1 Introduction Multi-layered (i.e. deep) artificial
More informationNONLINEAR CLASSIFICATION AND REGRESSION. J. Elder CSE 4404/5327 Introduction to Machine Learning and Pattern Recognition
NONLINEAR CLASSIFICATION AND REGRESSION Nonlinear Classification and Regression: Outline 2 Multi-Layer Perceptrons The Back-Propagation Learning Algorithm Generalized Linear Models Radial Basis Function
More informationCOMP 551 Applied Machine Learning Lecture 14: Neural Networks
COMP 551 Applied Machine Learning Lecture 14: Neural Networks Instructor: Ryan Lowe (ryan.lowe@mail.mcgill.ca) Slides mostly by: Class web page: www.cs.mcgill.ca/~hvanho2/comp551 Unless otherwise noted,
More informationCSE 417T: Introduction to Machine Learning. Final Review. Henry Chai 12/4/18
CSE 417T: Introduction to Machine Learning Final Review Henry Chai 12/4/18 Overfitting Overfitting is fitting the training data more than is warranted Fitting noise rather than signal 2 Estimating! "#$
More informationAdministration. Registration Hw3 is out. Lecture Captioning (Extra-Credit) Scribing lectures. Questions. Due on Thursday 10/6
Administration Registration Hw3 is out Due on Thursday 10/6 Questions Lecture Captioning (Extra-Credit) Look at Piazza for details Scribing lectures With pay; come talk to me/send email. 1 Projects Projects
More informationLearning and Neural Networks
Artificial Intelligence Learning and Neural Networks Readings: Chapter 19 & 20.5 of Russell & Norvig Example: A Feed-forward Network w 13 I 1 H 3 w 35 w 14 O 5 I 2 w 23 w 24 H 4 w 45 a 5 = g 5 (W 3,5 a
More informationUnderstanding How ConvNets See
Understanding How ConvNets See Slides from Andrej Karpathy Springerberg et al, Striving for Simplicity: The All Convolutional Net (ICLR 2015 workshops) CSC321: Intro to Machine Learning and Neural Networks,
More informationEngineering Part IIB: Module 4F10 Statistical Pattern Processing Lecture 6: Multi-Layer Perceptrons I
Engineering Part IIB: Module 4F10 Statistical Pattern Processing Lecture 6: Multi-Layer Perceptrons I Phil Woodland: pcw@eng.cam.ac.uk Michaelmas 2012 Engineering Part IIB: Module 4F10 Introduction In
More informationLinear classifiers: Logistic regression
Linear classifiers: Logistic regression STAT/CSE 416: Machine Learning Emily Fox University of Washington April 19, 2018 How confident is your prediction? The sushi & everything else were awesome! The
More informationMaking Deep Learning Understandable for Analyzing Sequential Data about Gene Regulation
Making Deep Learning Understandable for Analyzing Sequential Data about Gene Regulation Dr. Yanjun Qi Department of Computer Science University of Virginia Tutorial @ ACM BCB-2018 8/29/18 Yanjun Qi / UVA
More information